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Finding the Third Proportional to 106,100 and 230,860

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Solution

The third proportional to 106,100 and 230,860 is: 502,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,100 : 230,860 = 230,860 : x
  2. Step 2: Convert to fraction form
    106,100/230,860 = 230,860/x
  3. Step 3: Cross multiply
    106,100x = 230,860 × 230,860
  4. Step 4: Simplify right side
    106,100x = 53,296,339,600
  5. Step 5: Solve for x
    x = 53,296,339,600/106,100
  6. Step 6: Final answer
    x = 502,321.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.